How much of “Doctor Who” might really be possible?

Science shows why Doctor Who is so special.

As Doctor Who’s 50th anniversary looms, time travel is everywhere – on the screen, at least. Famously, the Doctor can whizz through the years using a “dimensionally transcendental” machine, the TARDIS, and make changes to the past as and when he likes. But what is time travel – and how much of “Doctor Who” might really be possible?

A handy definition of time travel comes from philosopher David Lewis. Lewis says time travel involves a journey having different durations viewed from outside (in “external time”) or from inside (in “personal time”). Suppose you spend five minutes travelling aboard your machine, as measured by (e.g.) your watch and your memories. On arrival, you find 150 years have elapsed in the outside world. Congratulations, you have time-travelled. Five minutes of your personal time has covered 150 years of external time.

Odd as this sounds, Einstein’s theory of Special Relativity introduced such possibilities to physics in 1905. The theory says: the duration of a process varies with the relative velocity of the observer. The closer that relative velocity gets to the speed of light, the longer the travelling process takes.

Suppose you want to see the Earth a billion years hence, but worry you have only about 50 personal years left. Special Relativity specifies that if you travel very close to the speed of light relative to the Earth, your 50 personal years can cover one billion Earth years.

In backward time travel, personal and external time differ in direction, so journeys end in external time before, not after, they begin; you spend five personal minutes travelling 150 years into the external past. General Relativity suggests that the universe is essentially curved spacetime, which might allow such divergences of external and personal time.

Relativity treats space and time as aspects of a single entity: “spacetime”. One of the more remarkable features of General Relativity is that it allows time and space axes to be interchanged, so one observer’s space axis can be another observer’s time axis.

In 1949, Austrian mathematician Kurt Gödel used General Relativity to describe a universe where intrepid voyagers can go anywhere in (past or future) time without travelling faster than light. Gödel’s universe has no boundaries in space or time, and all the matter in it rotates. But our finite, non-rotating universe is not Gödel’s. Despair not though – simply spin an ultradense, very (maybe infinitely) long cylinder very fast. Spacetime should curve around the cylinder so the direction of the local future partially points into the external past. Such devices are called “Tipler Cylinders”, after physicist Frank Tipler.

Better yet, quantum theory suggests that “wormhole” connections between different spacetime points spontaneously form and break all the time. The chances are that natural wormholes are tiny - vastly smaller even than an electron, (and a billion trillion electrons can fit in a teaspoon). But you could perhaps find (or create) a wormhole big enough and durable enough to let you slip through into the past. Difficult, but theoretically possible.

No, you can’t kill your physics teacher

So perhaps you could travel into the past. But what about paradoxes? What is to stop you assassinating your grandfather or yourself as infants? One answer says: logical consistency.

Classical logic says you cannot consistently kill in infancy someone who achieves adulthood. But, Lewis says, time travel need not involve doing the logically impossible – provided travellers’ actions in the past are consistent with the history whence they come. So you could try killing your baby grandfather, but something would foil you – you would sneeze, or your gun would jam. Lewisian time travel is therefore (classically) consistent, but might look very strange, since seemingly possible actions (like shooting an unprotected infant) would prove impossible.

Another view says that backward time travel requires many worlds – that is, many different but equally real versions of physical reality. Physicist David Deutsch and philosopher Michael Lockwood argue that time travel must involve inter-world travel. If you travel backwards in time, you must arrive in a history different from your native one and so would be quite unfettered by your past once you get there. You could even kill this other history’s counterparts of your grandfather and yourself.

Both these concepts of backwards time travel may disappoint anyone wanting to change the “one and only” past. Conventional logic says time travellers would either help make history what it was (Lewis) or create a different history (Deutsch/Lockwood). However, quantum logic might let travellers change the actual (one-and-only) past.

Suppose we hold that quantum measurements determine (or change) quantities measured, even if those quantities lie in the past. Someone could travel back and “observe” history turning out differently from how it originally was, thereby retrospectively making actuality different from what it had been. What would happen to travellers who rebooted history is not clear, but this model seems closer to the time travel familiar from “Doctor Who” and other fictions. Beware, though, because quantum theory allows no predicting, and still less controlling, of the outcomes of changing the past. There would be no way to foresee the effect you would have on the present.

So classical logic, General Relativity and quantum theory all seem to permit time travel. Classical logic plus General Relativity suggest backward travellers face weird consistency constraints. Many-worlds travellers face no constraints, but get displaced into different histories. Quantum-logic travellers could change the (one and only) past without constraints, but they couldn’t predict or control what they would get.

So far, however, it seems only the Doctor knows how to change the past at will.

Alasdair Richmond received funding from the Arts and Humanities Research Council, to fund one semester of a two-semester leave period that covered the academic year 2008-2009.

The Conversation

This article was originally published at The Conversation. Read the original article.

The eleven incarnations of the Doctor. Image: BBC/Matt Burlem

Alasdair Richmond is a Senior Lecturer in Philosophy at the University of Edinburgh.

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With the BBC Food’s collection under threat, here's how to make the most of online recipes

Do a bit of digging, trust your instincts – and always read the comments.

I don’t think John Humphrys is much of a chef. Recently, as his Today co-presenter Mishal Husain was discussing the implications of the BBC’s decision to axe its Food website (since commuted to transportation to the Good Food platform, run by its commercial arm), sharp-eared listeners heard the Humph claim that fewer recipes on the web could only be a good thing. “It would make it easier!” he bellowed in the background. “We wouldn’t have to choose between so many!”

Husain also seemed puzzled as to why anyone would need more than one recipe for spaghetti bolognese – but, as any keen cook knows, you can never have too many different takes on a dish. Just as you wouldn’t want to get all your news from a single source, it would be a sad thing to eat the same bolognese for the rest of your life. Sometimes only a molto autentico version, as laid down by a fierce Italian donna, rich with tradition and chopped liver, will do – and sometimes, though you would never admit it in a national magazine, you crave the comfort of your mum’s spag bol with grated cheddar.

The world wouldn’t starve without BBC Food’s collection but, given that an online search for “spaghetti bolognese recipe” turns up about a million results, it would have been sad to have lost one of the internet’s more trustworthy sources of information. As someone who spends a large part of each week researching and testing recipes, I can assure you that genuinely reliable ones are rarer than decent chips after closing time. But although it is certainly the only place you’ll find the Most Haunted host Yvette Fielding’s kedgeree alongside Heston Blumenthal’s snail porridge, the BBC website is not the only one that is worth your time.

The good thing about newspaper, magazine and other commercial platforms is that most still have just enough budget to ensure that their recipes will have been made at least twice – once by the writer and once for the accompanying photographs – though sadly the days when everyone employed an independent recipe tester are long gone. Such sites also often have sufficient traffic to generate a useful volume of comments. I never make a recipe without scrolling down to see what other people have said about it. Get past the “Can’t wait to make this!” brigade; ignore the annoying people who swap baked beans for lentils and then complain, “This is nothing like dhal”; and there’s usually some sensible advice in there, too.

But what about when you leave the safety of the big boys and venture into the no man’s land of the personal blog? How do you separate the wheat from the chaff and find a recipe that actually works? You can often tell how much work a writer has put in by the level of detail they go into: if they have indicated how many people it serves, or where to find unusual ingredients, suggested possible tweaks and credited their original sources, they have probably made the dish more than once. The photography is another handy clue. You don’t have to be Annie Leibovitz to provide a good idea of what the finished dish ought to look like.

Do a bit of digging as part of your prep. If you like the look of the rest of the site, the author’s tastes will probably chime with your own. And always, always, wherever the recipe is from, read it all the way through, even before you order the shopping. There is nothing more annoying than getting halfway through and then realising that you need a hand blender to finish the dish, just as the first guest arrives.

Above all, trust your instincts. If the cooking time seems far too short, or the salt content ridiculously high, it probably is, so keep an eye on that oven, check that casserole, keep tasting that sauce. As someone who once published a magic mince pie recipe without any sugar, I’m living proof that, occasionally, even the very best of us make mistakes. 

Felicity Cloake is the New Statesman’s food columnist. Her latest book is The A-Z of Eating: a Flavour Map for Adventurous Cooks.

This article first appeared in the 26 May 2016 issue of the New Statesman, The Brexit odd squad